Difference Between Place Value and Face Value

Definition of Place Value and Face Valu

Place Value

Place value is defined as the value of each digit in a number. We get the place value of a number by multiplying the digit value with its numerical value. For example, in the number 45634, to get the place value of ‘3’, we multiply 3 (numerical value) by 10 (digit value) and get 30, since 3 is in the tens place. Similarly, we can find the place values of the rest of the digits in the number.

Face Value

The face value of a digit in a number is the same digit itself. For example, in the number 45634, the face value of ‘3’ is 3 itself. The following figure illustrates the difference between place value and face value.

Expanded Form

Let us understand the difference between place value and face value through the expanded form of a number. The expanded form of 432 = 400 + 30 + 2.

In the expanded form, we express a number as the sum of the individual digit’s place value. In the above example, the place value of 4 is 400 (since 4 is in hundreds place), and the place value of 3 is 30 (since 3 is in tens place) and the place value of 2 is 2 (since 2 is in ones place). However, in the same number 432, the face value of 4 is 4, the face value of 3 is 3, and the face value of 2 is 2.

See also  Coprime Numbers - Definition, Properties, Examples, FAQs

Place Value and Face Value in an Abacus

Now, let us differentiate between the place value and face value of digits with the help of an abacus. A spike abacus is a tool in which each spike represents place values starting from ones, tens, hundreds, thousands and so on. For example, let us take the number 435. Observe the abacus shown below in which the colored beads represent the value of each digit in the place. There are 5 pink beads in ones place, which means, the face value of the digit is 5. Now let us look at its place value. The place value of the digit in ones place is (5 × 1), which is 5. Similarly, there are 3 blue beads in the tens place, which means, that the face value is 3 and the place value of the digit in tens place is (3 × 10), which is 30. The same concept holds good for the next digit. There are 4 yellow beads in the hundreds place, which means that the face value is 4 and the place value of the digit is 4 × 100 = 400.

Place Value and Face Value as in Abacus

Difference Between Place Value and Face Value

The table shown below lists the major differences between the place value and the face value of a number.

Place Value Face Value
Place value is defined as the position that a digit occupies in a number. Face value is the actual value of a digit in a number.
To get the place value of a number, we multiply the digit value with its numerical value. For example, in the number 452, the place value of 5 is (5 × 10) = 50, since 5 is in tens place. The face value of a digit is the number itself. For example, in the number 452, the face value of 4 is 4.
The place value of a number depends upon the position of the digit in the number. The face value is independent of the position of the digit in the number.
The place value of a digit in ones place is always a single digit and the place value of every next digit to the left increases by one more digit. The face value of a number is always a single digit.
See also  Mixed Fractions - Definition, Conversions, Examples.

Leave a Comment

Your email address will not be published. Required fields are marked *